Atkin-Lehner |
2+ 5- 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
16450h |
Isogeny class |
Conductor |
16450 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
93312 |
Modular degree for the optimal curve |
Δ |
-63672227045000 = -1 · 23 · 54 · 78 · 472 |
Discriminant |
Eigenvalues |
2+ 3 5- 7+ 1 -4 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,7433,-296059] |
[a1,a2,a3,a4,a6] |
Generators |
[12783:275726:27] |
Generators of the group modulo torsion |
j |
72661310612775/101875563272 |
j-invariant |
L |
6.1877779028963 |
L(r)(E,1)/r! |
Ω |
0.33015843345094 |
Real period |
R |
1.561820345417 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16450o1 115150bb1 |
Quadratic twists by: 5 -7 |